18523# + 1
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At this site we maintain a list of the 5000 Largest Known Primes which is updated hourly. This list is the most important databases at The Prime Pages: a collection of research, records and results all about prime numbers. This page summarizes our information about one of these primes.

This prime's information:

field (help)value
Description:18523# + 1
Verification status (*):Proven
Official Comment:Primorial
Unofficial Comments:This prime has 1 user comment below.
Proof-code(s): (*):D : Dubner, Cruncher
Decimal Digits:8002   (log10 is 8001.32410627771)
Rank (*):69614 (digit rank is 2)
Entrance Rank (*):23
Currently on list? (*):short
Submitted:1989
Last modified:1989
Database id:19513
Status Flags:none
Score (*):31.7487 (normalized score 0)

Archival tags:

There are certain forms classed as archivable: these prime may (at times) remain on this list even if they do not make the Top 5000 proper.  Such primes are tracked with archival tags.
Primorial (archivable *)
Prime on list: yes, rank 9
Subcategory: "Primorial"
(archival tag id 194501, tag last modified 2012-03-01 18:50:06)

User comments about this prime (disclaimer):

User comments are allowed to convey mathematical information about this number, how it was proven prime.... See our guidelines and restrictions.

Chris Caldwell writes (26 Nov 2005): 
For more information see [Dubner89a].

Verification data:

The Top 5000 Primes is a list for proven primes only. In order to maintain the integrity of this list, we seek to verify the primality of all submissions.  We are currently unable to check all proofs (ECPP, KP, ...), but we will at least trial divide and PRP check every entry before it is included in the list.
fieldvalue
prime_id19513
person_id9
machineWinXP Athlon 1.3GHz
whatprime
notesPFGW Version 20021217.Win_Dev (Beta 'caveat utilitor') [FFT v22.7 w/P4] Running N-1 test using base 2 Primality testing 18523#+1 [N-1, Brillhart-Lehmer-Selfridge] Calling Brillhart-Lehmer-Selfridge with factored part 33.38% 18523#+1 is prime! (93.034000 seconds)
modified2003-03-25 11:23:33
created2002-12-28 15:14:56
id56111

Query times: 0.0007 seconds to select prime, 0.0005 seconds to seek comments.